A Paralelogram PQRS is rotated 90°
clockwise about the origin to create
paralelogram P'QRS:. Perform the
transformation then give the algebraic
representation.
Q

Answer:

y = - 5x - 7

Step-by-step explanation:

A line has a function:

y = ax + b

Because the line has a slope of - 5

=> a = - 5

=> y = - 5x + b

Because the line goes through point (- 1; - 2)

=> - 2 = (- 5).(- 1) + b

=> 5 + b = - 2

=> b = - 7

=> The slope intercept from of the line:

y = - 5x - 7

Answer:

x2 + 3x − 2

Explination: trust pls

The length of the hypotenuse in this right-angled triangle =  6.98 cm².

The Pythagorean theorem states that the total of the squares on the legs of a right triangle equals the square upon that hypotenuse (the side opposite the right angle)—or, in popular algebraic notation, a2 + b2 = c2.

The basic formula for calculating the area of a triangle is the half square product of its base as well as height, i.e., A = 1/2 b h. This formula applies to all triangles, whether they are scalene triangles, isosceles triangles, or equilateral triangles.

Hypotenuse (c) = 8 cm

Base (b) = 3.9 cm

Length =

C² = (a² + b³)

a² = C² - b²

a = √((8)² - (3.9)²)

  = 6.98 cm²

The length of the hypotenuse in this right-angled triangle =  6.98 cm².

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Work Shown:

A = 18 take bio

B = 13 take Spanish

C = 5 take both

A+B-C = 18+13 - 5 = 26 students total

------------------------------

Another approach:

18 take bio and 5 take both, so 18-5 = 13 take bio only

13 take Spanish and 5 take both, so 13-5 = 8 take Spanish only

We then have 13+8+5 = 26 students

Both methods only work when each student is in either bio, Spanish, or both. We cannot have a student who is in neither class.

The baseball team can bring 11 players to the tournament based on their budget.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of players the team can bring to the tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals, hence:

24.75x + 856.5 = 1128.75

x = 11

The baseball team can bring 11 players to the tournament based on their budget.

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Answer: False; the sum of the angles is not equal to 180

Answer:

No

Step-by-step explanation:

The sum of angles in a trigngle has tp be 180.

150+20+20 is 190, there fore you cant

The fraction of the solution present in the contaminant is 3/5.

First, we convert 50% to fractions.

Changing a percentage to a fraction is equivalent to dividing a number by 100.

500% = 500/100

Taking this into account, we get 3/(500/100).

Then, when we divide a number by a fraction, we multiply the result by the inverse of the fraction.

= 3/(500/100)

= 3 x 100/500

Further simplifying;

= 300/500

= 3/5

Therefore, the value of the fraction of contaminant solution is 3/5.

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The percentage increase for given quantity is 11.1%

In this question,

A quantity increases from 225 to 250.

So, the absolute change in the quantity would be,

|225 - 250| = 25

The relative increase of the quantity would be,

R = [tex]\frac{|225 - 250|}{225}[/tex]

R = 25 / 225

R = 0.111

We know that, the percentage increase of the quantity is the relative increase multiplied by 100.

So, the percentage increase of given quantity would be,

P = 0.111 × 100

P = 11.1%

Therefore, the percentage increase for given quantity is 11.1%

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Answer:  

Step-by-step explanation:

You can see that JL = LK  and  MK ≅ JL, hence according to the transitive property, we can conclude that LK ≅ MK

A midpoint is a point that divides a line of a segment into two equal parts. It also means that the point bisects the given line.

If the point L is the midpoint of JK, then;

JL + LK = JK and;

JL = LK .........1

Similarly, K intersects MK at K, then;

MK ≅ JL..........2

From equation 1 and 2, you can see that JL = LK  and  MK ≅ JL, hence according to the transitive property, we can conclude that LK ≅ MK

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Answer:

-$83

Step-by-step explanation:

Create an equation to model Nina's balance.

[tex]40-63+80-140=-83[/tex]

Answer: read first :)

Step-by-step explanation:

the first equation, x= -4 + 3y/5

y= 20/3 + 5x/3

the second equation, x= 4 - 2y/3

y= 6 - 3x/2

The boiling point of water is 256 °F warmer than the boiling point of liquid propane.

In the question, we are given that the boiling point of a liquid is the temperature at which the liquid starts to boil. The boiling point of water is 212°F. Propane gas is used for cooking in gas grills. Liquid propane has a boiling point of -44°F.

We are asked to find how much warmer the boiling point of water is than the boiling point of liquid propane.

To find the warmth of the boiling point of water in comparison to the boiling point of liquid propane, we subtract the boiling of liquid propane from the boiling point of the water.

Thus, The warmer the boiling point of water is in comparison to the boiling point of liquid propane = The boiling point of water - The boiling point of liquid propane,

or, The warmer the boiling point of water is in comparison to the boiling point of liquid propane = 212 °F - ( -44 °F),

or, The warmer the boiling point of water is in comparison to the boiling point of liquid propane = 212 °F + 44 °F = 256  °F.

Thus, the boiling point of water is 256 °F warmer than the boiling point of liquid propane.

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Ashley and her four friends will need 5 hours and 19.57 minutes to make 1575 bags if Ashley takes 2/3 of a minute and each friend takes 75% longer.

The first sexagesimal fraction of an hour, or one-fifth of an hour, or 60 seconds, is known as the minute. On rare occasions, due to leap seconds, a minute in the UTC time zone has 61 seconds (A negative leap second might be inserted, producing a minute of 59 seconds; however, this has never occurred in more than 40 years under this system.) The minute can be used with SI units even if it isn't a SI unit. Minute or minutes is represented by the SI unit min (without a dot). Occasionally, people would slangy refer to minutes of time by the prime symbol.

Calculations:

For a bag, Ashley needs about 2/3 of a minute.

= Ashley prepare bag in 1 minute = 3/2  

Her friends takes 75%  Longer to prepare a bag

time taken by her friends =  2/3  + (75/100)(2/3)

= (2/3)( 1  + 3/4)

= (2/3)(7/4)

= 7/6  Minutes

Her one friend prepare bag in 1 minute =  6/7

Bag prepared by Ashley & her 4 friend in 1 Minute

=  3/2  +  4*6/7

=  (21 + 48)/14

= 69/14  Bag

69/14   Bag prepared in 1 minute

1 Bag prepared in    14/69   minutes

1575  bags prepared  in   1575  * 14/69

= 319.57 minutes

= 5 hrs  19.57 Minutes

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Answer:

Absolute values:

Absolute values are specific values in math interpreted by vertical bars and a plus/minus symbol to represent addition, subtraction, or if they are negative / positive. Mostly, if the absolute value is positive, you can write the vertical bars to represent its absolute value. No need for a plus symbol. However, negative numbers are often different.

Exempli gratia(e.g): |2|, |-2|, |+2|

Answer:

It works in both equations, so the two numbers are 60 and 12.

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x)=3(x+7)³-9

1. Let's graph the function у=3х³

2. Shift the graph of the function to the left by 7 units along the х-axis

3. Slide the graph of the function down 9 units along the y-axis

Answer its the first one

Step-by-step explanation:

The pressure of the circular table top has a radius of 90 cm. A force of 810 N is applied to the whole table top =  287.23 N/m².

A force seems to be an influence that could also cause an object's motion to change. A force can cause a mass item's velocity or acceleration to alter. The force can be expressed intuitively as a push or perhaps a pull. Because it has both magnitude and direction a force is a vector quantity.

The force applied against the surface of an item per unit area across which that force is spread is referred to as pressure (symbol: p or P).

Force = 810N

Radius of the circular table = 90cm.

Pressures  = force /area

Finding the area of circular table = πr²

                                                       = π x 90 x 10⁻² (1 cm = 10⁻²)

                                                       = 2.82 m²

substituting the value in the formula.

Pressures  = force /area

                  = 810/2.82

                  = 287.23 N/m²

The pressure of the circular table top has a radius of 90 cm. A force of 810 N is applied to the whole table top =  287.23 N/m²

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The equation that best represents the depth of the pond each week is,

[tex]y=10(1.03)^{x}[/tex]

A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is called an equation.

Given:

The given equation is,

[tex]y=P(1+r)^{x} \;\;\;\;\;-------equation(1)[/tex]

Depth of the pond, P = 10 feet deep

Rate of pond increase, r = 3% = 0.03

Substitute the value of P and r in the equation (1),

[tex]y=10(1+0.03)^{x}[/tex]

Therefore, The equation that best represents the depth of the pond each week is,

[tex]y=10(1.03)^{x}[/tex]

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The slope associated with points (2, 6) and (-1, 3) is 1 so it is not a negative slope.

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

Given the points,

(2, 6) and (-1, 3)

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

So,

Slope = (3 - 6)/(-1 - 2)

Slope = (-3)/(-3) = 1

Hence "Slope of the given points is +1 so it is positive".

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The dimensions of the rectangle are 59 by 50 inches

The given parameters are

Length (l) = 1/2 width (w) + 9

Perimeter (P) = 318

Perimeter is calculated as

P = 2 (l + w)

Substitute l = 1/2w + 9 in P = 2(l + w)

So, we have

2 * (1/2w + w + 9) = 318

Evaluate the like terms

2 * (1.5w + 9) = 318

Divide by 2

1.5w + 9 = 159

So, we have

1.5w = 150

Divide by 15

w = 100

Substitute w = 100 in l = 1/2w + 9

l = 1/2 * 100 + 9

Evaluate

l = 59

Hence. the dimensions of the rectangle are 59 by 50 inches

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Based on the calculations, the sum of the areas of the rectangles is equal to: A. 0.25 square unit.

Mathematically, the area of a rectangle can be calculated by using this formula;

A = LW

Where:

By critically observing the figure (see attachment), we can logically deduce the following information:

Width of rectangle A = 2 units

Width of rectangle B = 2 units.

Width of rectangle C = 4 units.

Next, we would determine the length and area of each of the rectangle.

The length of the first rectangle is given by:

Length of rectangle, y = 3^-x

Length of rectangle, y(0) = 3⁻⁰ = 1 units.

Length of rectangle, y = 3^-x

Length of rectangle, y(2) = 3⁻² = 0.11 unit.

Area of first rectangle = 2(0.11)

Area of first rectangle = 0.22 square unit.

For the second rectangle, we have:

Length of second rectangle, y = 3^-x

Length of second rectangle, y(4) = 3⁻⁴ = 0.012 unit.

Area of second rectangle = 2(0.012)

Area of second rectangle = 0.025 square unit.

For the third rectangle, we have:

Length of third rectangle, y = 3^-x

Length of third rectangle, y(8) = 3⁻⁸ = 0.00015 unit.

Area of third rectangle = 4(0.00015)

Area of third rectangle = 0.0006 square unit.

Now, we can calculate the sum of the areas of the rectangles:

Total area = 0.22 square unit + 0.025 square unit + 0.0006 square unit.

Total area = 0.246 ≈ 0.25 square unit.

Total area of rectangle = 0.25 square unit.

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Complete Question:

Figure 3 shows the graph of y = 3^−x and three inscribed rectangles. What is the sum of the areas of the rectangles?

[a] 0.25

[b] 0.50

[c] 2.45

[d] 6.26

[e] 12.68

The answer to the problem of logical reasoning will be:

8 + 9 × 4 = 8 + 36 = 44

By hit and trial method, we get that:

The value of bag will be 4.

The value of book will be 9

The value of pencil will be 5.

We get that:

4 + 9 × 4 = 4 + 36 = 40

Which is true

2(8) + 8 × 4 = 16 + 32 = 48

Which is true

9 + 8 + 2(8) = 9 + 8 + 16 = 33

Which is true

So, we get that:

8 + 9 × 4 = 8 + 36 = 44

Therefore, the answer to the problem of logical reasoning will be:

8 + 9 × 4 = 8 + 36 = 44

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The best term that describes the number of solutions that will maximize the function is one optimal solution (a).

Number of Solutions in linear equations:

There are 3 possible types of solutions to the set of linear equations. They are:

Unique Solution - linear equation represents that there exists only one point, which on substitution, L.H.S becomes equal to R.H.S. In the case of simultaneous linear equations in two variables, the solution should be an ordered pair (x, y).

No Solution -  linear equations are parallel, then the system of linear equations has no solution.

Infinitely Many Solutions - graph for the system of linear equations with infinitely many solutions is a graph of straight lines that overlaps each other.

Given,

Here we need to find the number of solutions that will maximize the function below given the constraints listed.

the constraints are 3x and 2y.

We know that, linear equations in two variables, the solution should be an ordered pair (x, y).

So, here we have exactly only one solution that is a unique solution.

Then the option (a) one optimal solution is correct

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Answer:

ask his mom she probobaly weighs more

Step-by-step explanation:

Bianca should play with her phone for 1.5 hours to use the entire battery.

Bianca spent 1/2 of an hour playing on her phone which used up 1/3 of her phone's battery.

Then,

Therefore, Bianca should play with her phone for 1.5 hours to use the entire battery.

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Answer: 1 3/4=7/4

2 1/2=5/2

Step-by-step explanation:

1 3/4=

1 + 3/4=

4/4 + 3/4=

(4+3)/4=7/4

2 1/2=

2+1/2=

4/2+1/2=5/2